Title of article :
Valuations determined by quadratic transforms of a regular ring
Author/Authors :
Miguel A. Granja، نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 2004
Abstract :
Let R be a regular noetherian local ring and let V be the ring of a zero-dimensional valuation v of the quotient field of R dominating R. The aim of this paper is to characterize when V can be obtained from R by the sequence of successive quadratic transforms of R along V. We also show some properties of such valuations in terms of the sequence.
Keywords :
Real rank , Quadratic transforms , Rational rank , valuations
Journal title :
Journal of Algebra
Journal title :
Journal of Algebra